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107727834 = 23193532677
BaseRepresentation
bin1100110101111…
…00101111011010
321111201010210210
412122330233122
5210034242314
614404551550
72445446214
oct632745732
9244633723
10107727834
115589a575
12300b25b6
131941b0a6
14104435b4
1596ce559
hex66bcbda

107727834 has 32 divisors (see below), whose sum is σ = 227522880. Its totient is φ = 33910272.

The previous prime is 107727817. The next prime is 107727839. The reversal of 107727834 is 438727701.

It is a junction number, because it is equal to n+sod(n) for n = 107727792 and 107727801.

It is not an unprimeable number, because it can be changed into a prime (107727839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38904 + ... + 41580.

It is an arithmetic number, because the mean of its divisors is an integer number (7110090).

Almost surely, 2107727834 is an apocalyptic number.

107727834 is an abundant number, since it is smaller than the sum of its proper divisors (119795046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107727834 is a wasteful number, since it uses less digits than its factorization.

107727834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054.

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 107727834 is about 10379.2019924462. The cubic root of 107727834 is about 475.8199451993.

The spelling of 107727834 in words is "one hundred seven million, seven hundred twenty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 114 353 706 1059 2118 2677 5354 6707 8031 13414 16062 20121 40242 50863 101726 152589 305178 944981 1889962 2834943 5669886 17954639 35909278 53863917 107727834